In a recent issue of the IFFF Spectrum, 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Le X = the length (in days) of an engineering conference. a. Organize the data In a chart. b. Find the median , the first quartile , and the third quartile. c. Find the 65th percentile. d. Find the 10th percentile. e. Construct a box plot of the data. f. The middle 50% of the conferences last from days to days. g. Calculate the sample mean of das of engineering conferences. h. Calculate the sample standard deviation of days of engineering conferences. I. Find the mode . j. If you were planning an engineering conference, which would you choose as the length of the conference: mean; median; or mode? Explain why you made that choice. k. Give two reasons why you think that three to five days seem to be popular lengths of engineering conferences.
In a recent issue of the IFFF Spectrum, 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Le X = the length (in days) of an engineering conference. a. Organize the data In a chart. b. Find the median , the first quartile , and the third quartile. c. Find the 65th percentile. d. Find the 10th percentile. e. Construct a box plot of the data. f. The middle 50% of the conferences last from days to days. g. Calculate the sample mean of das of engineering conferences. h. Calculate the sample standard deviation of days of engineering conferences. I. Find the mode . j. If you were planning an engineering conference, which would you choose as the length of the conference: mean; median; or mode? Explain why you made that choice. k. Give two reasons why you think that three to five days seem to be popular lengths of engineering conferences.
In a recent issue of the IFFF Spectrum, 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Le X = the length (in days) of an engineering conference.
a. Organize the data In a chart.
b. Find the median, the first quartile, and the third quartile.
c. Find the 65th percentile.
d. Find the 10th percentile.
e. Construct a box plot of the data.
f. The middle 50% of the conferences last from days to days.
g. Calculate the sample mean of das of engineering conferences.
h. Calculate the sample standard deviation of days of engineering conferences.
I. Find the mode.
j. If you were planning an engineering conference, which would you choose as the length of the conference: mean; median; or mode? Explain why you made that choice.
k. Give two reasons why you think that three to five days seem to be popular lengths of engineering conferences.
Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.
Homework Let X1, X2, Xn be a random sample from f(x;0) where
f(x; 0) = (-), 0 < x < ∞,0 € R
Using Basu's theorem, show that Y = min{X} and Z =Σ(XY) are indep.
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Homework Let X1, X2, Xn be a random sample from f(x; 0) where
f(x; 0) = e−(2-0), 0 < x < ∞,0 € R
Using Basu's theorem, show that Y = min{X} and Z =Σ(XY) are indep.
An Arts group holds a raffle. Each raffle ticket costs $2 and the raffle consists of 2500 tickets. The prize is a vacation worth $3,000.
a. Determine your expected value if you buy one ticket.
b. Determine your expected value if you buy five tickets.
How much will the Arts group gain or lose if they sell all the tickets?
University Calculus: Early Transcendentals (4th Edition)
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